Question 1042808
11x - 7y =xy , 9x - 4y = 6xy 
----
Solve each for "y"::
y(x+7) = 11x
y = 11x/(x+7)
-----
y(6x+4) = 9x
y = 9x/(6x+4)
----------
Subtract and solve for "x"::
11x/(x+7)-9x/(6x+4) = 0
--------
11x(6x+4) - 9x(x+7) = 0
66x^2 + 24x - 9x^2 - 63x = 0
57x^2 - 39x = 0
x(57x - 39) = 0
x = 0 or x = 39/57 = 13/19
Solve for "y"::
y = 11x/(x+7)
If x = 0, y = 0
If x = 13/19, y = 143/146
---------------
Cheers,
Stan H.
---------------------